2948725680 has 80 divisors (see below), whose sum is σ = 9195911424. Its totient is φ = 781607680.

The previous prime is 2948725631. The next prime is 2948725697. The reversal of 2948725680 is 865278492.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3295 + ... + 76865.

Almost surely, 2^2948725680 is an apocalyptic number.

2948725680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2948725680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4597955712).

2948725680 is an abundant number, since it is smaller than the sum of its proper divisors (6247185744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2948725680 is a wasteful number, since it uses less digits than its factorization.

2948725680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73754 (or 73748 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The square root of 2948725680 is about 54302.1701223809. The cubic root of 2948725680 is about 1433.9856015703.

The spelling of 2948725680 in words is "two billion, nine hundred forty-eight million, seven hundred twenty-five thousand, six hundred eighty".